Chapter 7: Analytic Trigonometry

In Problems 81–92, use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places.

$x-4\sin x=0$

Find the exact value of each expression.

$\tan \left({\sin }^{-1}\frac{4}{5}+{\cos }^{-1}1\right)$

In Problems 79-90, find the exact value of each expression.

$\tan \left[2{\cos }^{-1}\left(-\frac{3}{5}\right)\right]$

Establish each identity.

$\frac{{\cos }^2\theta -{\sin }^2\theta }{1-{\tan }^2\theta }={\cos }^2\theta$

Using a graphing utility, graph$y=se{c}^{-1}x$.

Use a graphing utility to solve the equation on the interval $0\le x\le 2\mathrm{\pi }$. Approximate any solutions rounded to two decimal places.

$\sin \left(x\right)=\ln \left(x\right)$

In Problems 81–92, use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places.

$22x-17\sin x=3$

Using a graphing utility, graph$y=cs{c}^{-1}x$.

Find the exact value of each expression.

$\tan \left({\cos }^{-1}\frac{4}{5}+{\sin }^{-1}1\right)$

In Problems 81–92, use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places.

$19x+8\cos x=2$